Microstructure and continuous phase transition of a regular Hayward black hole in anti-de Sitter spacetime

Abstract

We study the phase transition of a regular Hayward-AdS black hole by introducing a new order parameter, the potential conjugate to the magnetic charge due to the non-linearly coupled electromagnetic field. We use Landau continuous phase transition theory to discuss the van der Waals like critical phenomena of the black hole. The popular interpretation of the AdS black hole phase transition as between a large and a small black hole is reinterpreted as the transition between a high potential phase and a low potential phase. The underlying microstructure for this phase transition is probed using the Ruppeiner geometry. By investigating the behaviour of the Ruppeiner scalar curvature, we find that the charged and uncharged (effective) molecules of the black hole have distinct microstructures analogous to fermion and boson gas.

arXiv comment15 pages, 2 figures

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• Regular black holes: A short topic review
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Thermodynamics, Phase Transition and Joule Thomson Expansion of 4-D Gauss-Bonnet AdS Black Hole
• Structure of test magnetic fields and charged particle motion around the Hayward spacetime
• Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime